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Finding the Fourth Proportional to 151,702.38, 209,259.09 and 98,019.05

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Solution

The fourth proportional to 151,702.38, 209,259.09 and 98,019.05 is: 135,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,702.38 : 209,259.09 = 98,019.05 : x
  2. Step 2: Convert to fraction form
    151,702.38/209,259.09 = 98,019.05/x
  3. Step 3: Cross multiply
    151,702.38x = 209,259.09 × 98,019.05
  4. Step 4: Simplify right side
    151,702.38x = 20,511,376,159.37
  5. Step 5: Solve for x
    x = 20,511,376,159.37/151,702.38
  6. Step 6: Final answer
    x = 135,208.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.